Re: random numbers and statistics

From: Robert Israel (israel_at_math.ubc.ca)
Date: 08/07/04


Date: 7 Aug 2004 01:35:06 GMT

In article <4d47f9d3.0408061611.7a4436c@posting.google.com>,
sean kim <sean_incali@yahoo.com> wrote:

>I'm doing soem simulations using random numbers, and i wanted to do
>statistics on the results of nuemrical calculations that were done
>using random number inputs.

>Naturally, since the numbers are not really random, but pseudorandom,
>I'm wondering if the pseudo random generator will show false
>correlations if i look at thing like the mean, variance and standard
>deviations of the output.

>Am I right in worrying about this? or anyone has some insights they
>are graciously willing to provide?

It can happen, depending of course on the details of the particular
generator and how it is being used. See George Marsaglia's famous
paper "Random Numbers Fall Mainly in the Planes", Proc. Nat. Acad. Sci.
61 (1968) 25-28.

Robert Israel israel@math.ubc.ca
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia
Vancouver, BC, Canada V6T 1Z2



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